72610488 has 96 divisors (see below), whose sum is σ = 205920000. Its totient is φ = 23091264.

The previous prime is 72610487. The next prime is 72610511. The reversal of 72610488 is 88401627.

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 (72610481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145263 + ... + 145761.

It is an arithmetic number, because the mean of its divisors is an integer number (2145000).

Almost surely, 2^72610488 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 72610488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960000).

72610488 is an abundant number, since it is smaller than the sum of its proper divisors (133309512).

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

72610488 is a wasteful number, since it uses less digits than its factorization.

72610488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72610488 is about 8521.1787916931. The cubic root of 72610488 is about 417.1892590171.

The spelling of 72610488 in words is "seventy-two million, six hundred ten thousand, four hundred eighty-eight".