72954900 has 108 divisors (see below), whose sum is σ = 231186592. Its totient is φ = 19241280.

The previous prime is 72954887. The next prime is 72954901. The reversal of 72954900 is 945927.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72954901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92307 + ... + 93093.

Almost surely, 2^72954900 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 72954900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115593296).

72954900 is an abundant number, since it is smaller than the sum of its proper divisors (158231692).

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

72954900 is a wasteful number, since it uses less digits than its factorization.

72954900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72954900 is about 8541.3640596804. The cubic root of 72954900 is about 417.8478342374.

The spelling of 72954900 in words is "seventy-two million, nine hundred fifty-four thousand, nine hundred".