72351400 has 48 divisors (see below), whose sum is σ = 183515040. Its totient is φ = 26308800.

The previous prime is 72351397. The next prime is 72351401. The reversal of 72351400 is 415327.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (72351401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14244 + ... + 18643.

It is an arithmetic number, because the mean of its divisors is an integer number (3823230).

Almost surely, 2^72351400 is an apocalyptic number.

It is an amenable number.

72351400 is an abundant number, since it is smaller than the sum of its proper divisors (111163640).

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

72351400 is a wasteful number, since it uses less digits than its factorization.

72351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32914 (or 32905 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72351400 is about 8505.9626145428. The cubic root of 72351400 is about 416.6924641805.

Adding to 72351400 its reverse (415327), we get a palindrome (72766727).

The spelling of 72351400 in words is "seventy-two million, three hundred fifty-one thousand, four hundred".