72467955 has 48 divisors (see below), whose sum is σ = 148524480. Its totient is φ = 31981824.

The previous prime is 72467953. The next prime is 72467999. The reversal of 72467955 is 55976427.

It is not a de Polignac number, because 72467955 - 2¹ = 72467953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72467955.

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 47 ways as a sum of consecutive naturals, for example, 5169 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (3094260).

Almost surely, 2^72467955 is an apocalyptic number.

72467955 is an abundant number, since it is smaller than the sum of its proper divisors (76056525).

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

72467955 is a wasteful number, since it uses less digits than its factorization.

72467955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980 (or 7977 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 72467955 is about 8512.8112277907. The cubic root of 72467955 is about 416.9161020248.

The spelling of 72467955 in words is "seventy-two million, four hundred sixty-seven thousand, nine hundred fifty-five".