72547400 has 48 divisors (see below), whose sum is σ = 171017700. Its totient is φ = 28615680.

The previous prime is 72547393. The next prime is 72547411. The reversal of 72547400 is 474527.

It can be written as a sum of positive squares in 6 ways, for example, as 17757796 + 54789604 = 4214^2 + 7402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12116 + ... + 17084.

Almost surely, 2^72547400 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 72547400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85508850).

72547400 is an abundant number, since it is smaller than the sum of its proper divisors (98470300).

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

72547400 is a wasteful number, since it uses less digits than its factorization.

72547400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 72547400 is about 8517.4761520065. The cubic root of 72547400 is about 417.0683983213.

The spelling of 72547400 in words is "seventy-two million, five hundred forty-seven thousand, four hundred".