72577264 has 40 divisors (see below), whose sum is σ = 148906640. Its totient is φ = 34172928.

The previous prime is 72577247. The next prime is 72577273. The reversal of 72577264 is 46277527.

72577264 = T₁₅₂ + T₁₅₃ + ... + T₇₅₉.

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, 58054 + ... + 59290.

It is an arithmetic number, because the mean of its divisors is an integer number (3722666).

Almost surely, 2^72577264 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 72577264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74453320).

72577264 is an abundant number, since it is smaller than the sum of its proper divisors (76329376).

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

72577264 is a wasteful number, since it uses less digits than its factorization.

72577264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 72577264 is about 8519.2290731028. The cubic root of 72577264 is about 417.1256189429.

The spelling of 72577264 in words is "seventy-two million, five hundred seventy-seven thousand, two hundred sixty-four".