72260900400 has 240 divisors, whose sum is σ = 263946168864. Its totient is φ = 16740925440.

The previous prime is 72260900353. The next prime is 72260900407. The reversal of 72260900400 is 400906227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72260900407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128962 + ... + 401438.

Almost surely, 2^72260900400 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 72260900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131973084432).

72260900400 is an abundant number, since it is smaller than the sum of its proper divisors (191685268464).

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

72260900400 is a wasteful number, since it uses less digits than its factorization.

72260900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272528 (or 272517 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 72260900400 in words is "seventy-two billion, two hundred sixty million, nine hundred thousand, four hundred".