72919440 has 360 divisors, whose sum is σ = 288148224. Its totient is φ = 17107200.

The previous prime is 72919433. The next prime is 72919487. The reversal of 72919440 is 4491927.

72919440 = T₂₇₅ + T₂₇₆ + ... + T₇₇₀.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72919395 and 72919404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2352225 + ... + 2352255.

Almost surely, 2^72919440 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 72919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

72919440 is an abundant number, since it is smaller than the sum of its proper divisors (215228784).

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

72919440 is a wasteful number, since it uses less digits than its factorization.

72919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

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

The square root of 72919440 is about 8539.2880265277. The cubic root of 72919440 is about 417.7801244356.

The spelling of 72919440 in words is "seventy-two million, nine hundred nineteen thousand, four hundred forty".