157672400 has 120 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 60318720.

The previous prime is 157672397. The next prime is 157672409. The reversal of 157672400 is 4276751.

157672400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157672409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530749 + ... + 1530851.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^157672400 is an apocalyptic number.

157672400 is a gapful number since it is divisible by the number (10) 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 157672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

157672400 is an abundant number, since it is smaller than the sum of its proper divisors (238105840).

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

157672400 is a wasteful number, since it uses less digits than its factorization.

157672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 157672400 is about 12556.7670998550. The cubic root of 157672400 is about 540.2381208619.

The spelling of 157672400 in words is "one hundred fifty-seven million, six hundred seventy-two thousand, four hundred".