72761632 has 48 divisors (see below), whose sum is σ = 154314720. Its totient is φ = 33645568.

The previous prime is 72761629. The next prime is 72761653. The reversal of 72761632 is 23616727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30963 + ... + 33229.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2^72761632 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 72761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157360).

72761632 is an abundant number, since it is smaller than the sum of its proper divisors (81553088).

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

72761632 is a wasteful number, since it uses less digits than its factorization.

72761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2345 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 72761632 is about 8530.0429072778. The cubic root of 72761632 is about 417.4785283040.

The spelling of 72761632 in words is "seventy-two million, seven hundred sixty-one thousand, six hundred thirty-two".