72037056 has 336 divisors, whose sum is σ = 259445760. Its totient is φ = 17418240.

The previous prime is 72037051. The next prime is 72037061. The reversal of 72037056 is 65073027.

It is an interprime number because it is at equal distance from previous prime (72037051) and next prime (72037061).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72037051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323761 + ... + 2323791.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 2^72037056 is an apocalyptic number.

72037056 is a gapful number since it is divisible by the number (76) 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 72037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

72037056 is an abundant number, since it is smaller than the sum of its proper divisors (187408704).

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

72037056 is a wasteful number, since it uses less digits than its factorization.

72037056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 72037056 is about 8487.4646391016. The cubic root of 72037056 is about 416.0881223571.

The spelling of 72037056 in words is "seventy-two million, thirty-seven thousand, fifty-six".