72602464 has 48 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 32824960.

The previous prime is 72602449. The next prime is 72602483. The reversal of 72602464 is 46420627.

It is a super-2 number, since 2×72602464² = 10542235557742592, which contains 22 as substring.

It is a congruent number.

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, 83697 + ... + 84559.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^72602464 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 72602464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

72602464 is an abundant number, since it is smaller than the sum of its proper divisors (84161696).

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

72602464 is a wasteful number, since it uses less digits than its factorization.

72602464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 72602464 is about 8520.7079518078. The cubic root of 72602464 is about 417.1738909437.

The spelling of 72602464 in words is "seventy-two million, six hundred two thousand, four hundred sixty-four".