72651600 has 360 divisors, whose sum is σ = 305367360. Its totient is φ = 16070400.

The previous prime is 72651563. The next prime is 72651617. The reversal of 72651600 is 615627.

72651600 is a `hidden beast` number, since 7 + 2 + 6 + 51 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2343585 + ... + 2343615.

Almost surely, 2^72651600 is an apocalyptic number.

72651600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152683680).

72651600 is an abundant number, since it is smaller than the sum of its proper divisors (232715760).

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

72651600 is a wasteful number, since it uses less digits than its factorization.

72651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72651600 is about 8523.5907926179. The cubic root of 72651600 is about 417.2679815693.

It can be divided in two parts, 726 and 51600, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 72651600 in words is "seventy-two million, six hundred fifty-one thousand, six hundred".