72914464 has 48 divisors (see below), whose sum is σ = 165146688. Its totient is φ = 31041792.

The previous prime is 72914461. The next prime is 72914467. The reversal of 72914464 is 46441927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72914461) and next prime (72914467).

It is not an unprimeable number, because it can be changed into a prime (72914461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35514 + ... + 37510.

It is an arithmetic number, because the mean of its divisors is an integer number (3440556).

Almost surely, 2^72914464 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 72914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82573344).

72914464 is an abundant number, since it is smaller than the sum of its proper divisors (92232224).

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

72914464 is a wasteful number, since it uses less digits than its factorization.

72914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2169 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 72914464 is about 8538.9966623720. The cubic root of 72914464 is about 417.7706211574.

The spelling of 72914464 in words is "seventy-two million, nine hundred fourteen thousand, four hundred sixty-four".