35742720 has 176 divisors, whose sum is σ = 123802560. Its totient is φ = 8749056.

The previous prime is 35742697. The next prime is 35742727. The reversal of 35742720 is 2724753.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (35742727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199591 + ... + 199769.

Almost surely, 2^35742720 is an apocalyptic number.

35742720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61901280).

35742720 is an abundant number, since it is smaller than the sum of its proper divisors (88059840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35742720 is a wasteful number, since it uses less digits than its factorization.

35742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 35742720 is about 5978.5215563716. The cubic root of 35742720 is about 329.4042511291.

The spelling of 35742720 in words is "thirty-five million, seven hundred forty-two thousand, seven hundred twenty".