72977502 has 64 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 21700224.

The previous prime is 72977483. The next prime is 72977507. The reversal of 72977502 is 20577927.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72977507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524949 + ... + 525087.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^72977502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72977502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

72977502 is an abundant number, since it is smaller than the sum of its proper divisors (89592738).

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

72977502 is a wasteful number, since it uses less digits than its factorization.

72977502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 72977502 is about 8542.6870479961. The cubic root of 72977502 is about 417.8909806270.

The spelling of 72977502 in words is "seventy-two million, nine hundred seventy-seven thousand, five hundred two".