72961416 has 96 divisors (see below), whose sum is σ = 228290400. Its totient is φ = 20805120.

The previous prime is 72961409. The next prime is 72961453. The reversal of 72961416 is 61416927.

72961416 is a `hidden beast` number, since 7 + 29 + 614 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10755 + ... + 16173.

It is an arithmetic number, because the mean of its divisors is an integer number (2378025).

Almost surely, 2^72961416 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 72961416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114145200).

72961416 is an abundant number, since it is smaller than the sum of its proper divisors (155328984).

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

72961416 is a wasteful number, since it uses less digits than its factorization.

72961416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5452 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 72961416 is about 8541.7454890672. The cubic root of 72961416 is about 417.8602739567.

The spelling of 72961416 in words is "seventy-two million, nine hundred sixty-one thousand, four hundred sixteen".