72467952 has 20 divisors (see below), whose sum is σ = 187209000. Its totient is φ = 24155968.

The previous prime is 72467921. The next prime is 72467953. The reversal of 72467952 is 25976427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72467953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 754827 + ... + 754922.

It is an arithmetic number, because the mean of its divisors is an integer number (9360450).

Almost surely, 2^72467952 is an apocalyptic number.

It is an amenable number.

72467952 is an abundant number, since it is smaller than the sum of its proper divisors (114741048).

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

72467952 is a wasteful number, since it uses less digits than its factorization.

72467952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509760 (or 1509754 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 72467952 is about 8512.8110515857. The cubic root of 72467952 is about 416.9160962717.

The spelling of 72467952 in words is "seventy-two million, four hundred sixty-seven thousand, nine hundred fifty-two".