72497952 has 72 divisors (see below), whose sum is σ = 207763920. Its totient is φ = 23978880.

The previous prime is 72497917. The next prime is 72497959. The reversal of 72497952 is 25979427.

72497952 is a `hidden beast` number, since 72 + 497 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 72497898 and 72497907.

It is not an unprimeable number, because it can be changed into a prime (72497959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39127 + ... + 40937.

It is an arithmetic number, because the mean of its divisors is an integer number (2885610).

Almost surely, 2^72497952 is an apocalyptic number.

72497952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103881960).

72497952 is an abundant number, since it is smaller than the sum of its proper divisors (135265968).

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

72497952 is a wasteful number, since it uses less digits than its factorization.

72497952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 72497952 is about 8514.5729194129. The cubic root of 72497952 is about 416.9736194342.

The spelling of 72497952 in words is "seventy-two million, four hundred ninety-seven thousand, nine hundred fifty-two".