72952704 has 256 divisors, whose sum is σ = 249696000. Its totient is φ = 20736000.

The previous prime is 72952699. The next prime is 72952709. The reversal of 72952704 is 40725927.

It is an interprime number because it is at equal distance from previous prime (72952699) and next prime (72952709).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72952709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722254 + ... + 722354.

It is an arithmetic number, because the mean of its divisors is an integer number (975375).

Almost surely, 2^72952704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

72952704 is an abundant number, since it is smaller than the sum of its proper divisors (176743296).

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

72952704 is a wasteful number, since it uses less digits than its factorization.

72952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72952704 is about 8541.2355078174. The cubic root of 72952704 is about 417.8436416789.

It can be divided in two parts, 7295 and 2704, that added together give a palindrome (9999).

The spelling of 72952704 in words is "seventy-two million, nine hundred fifty-two thousand, seven hundred four".